TY - JOUR
ID - 514611
TI - Nonlinear Vibration Analysis of the Beam Carrying a Moving Mass Using Modified Homotopy
JO - Journal of Solid Mechanics
JA - JSM
LA - en
SN - 2008-3505
AU - Poorjamshidian, M
AU - Sheikhi, J
AU - Mahjoub-Moghadas, S
AU - Nakhaie, M
AD - Department of Mechanical Engineering, Imam Hossein University
AD - Civil Engineering, Imam Hossein University
Y1 - 2014
PY - 2014
VL - 6
IS - 4
SP - 389
EP - 396
KW - Non-linear vibration
KW - Modified homotopy
KW - Concentrated mass
DO -
N2 - In the present study, the analysis of nonlinear vibration for a simply-supported flexible beam with a constant velocity carrying a moving mass is studied. The amplitude of vibration assumed high and its deformation rate is assumed slow. Due to the high amplitude of vibrations, stretching is created in mid-plane, resulting in, the nonlinear strain-displacement relations is obtained, Thus, Nonlinear terms governing the vibrations equation is revealed. Modified homotopy equation is employed for solving the motion equations. The results shown that this method has high accuracy. In the following, analytical expressions for nonlinear natural frequencies of the beams have been achieved. Parametric studies indicated that, due to increasing of the velocity concentrated mass, the nonlinear vibration frequency is reduced. On the other hand, whatever the mass moves into the middle of beam, beam frequency decreases.
UR - http://jsm.iau-arak.ac.ir/article_514611.html
L1 - http://jsm.iau-arak.ac.ir/article_514611_64c43ed760938831ead683b766feb64f.pdf
ER -